Question

Length and breadth of a rectangular park are (3x² + 2x) m and (2x³ - 3) m respectively. Find the area of the park, when x = 3.

(A) 1924 m² 

(B) 1492 m²

(C) 1881 m² 

(D) 1683 m²

Answer 1

The correct option is: (D) 1683 m²

Explanation:

Length of rectangular park = (3x² + 2x) m

Breadth of rectangular park = (2x³ - 3) m

Area of park = length x breadth

(3x² + 2x) (2x³ - 3) = (6x⁵ + 4x⁴ - 9x² - 6x) m 

For x = 3, 6x⁵ + 4x⁴ - 9x² - 6x

= 6 x 243 + 4 x 81 - 9 x 9 - 6 x 3 = 1683

Hence, area of park = 1683 m²